Find two numbers, if their sum is 49 and their difference is 1/2 .

Answers

Answer 1

Answer:

[tex]x=24\frac{3}{4}\\ y=24\frac{1}{4}[/tex]

Step-by-step explanation:

Let the two numbers be x and y

So we have:

[tex]x +y = 49\\x-y=\frac{1}{2}[/tex]

using the elimination method, add the two equations together:

[tex]2x=49\frac{1}{2} \\2x=\frac{99}{2}[/tex]

solve for x:

[tex]x=\frac{99}{4}\\x=24\frac{3}{4}[/tex]

substitute our value for x back into the first equation we made:

[tex]x+y=49\\(\frac{99}{4}) + y=49\\y=49-\frac{99}{4}\\y=\frac{97}{4} \\ y=24\frac{1}{4}[/tex]

therefore,

[tex]x=24\frac{3}{4}\\ y=24\frac{1}{4}[/tex]


Related Questions

Solve the following system of equations {4x−6y=105x+6y=−55

Answers

Answer:

31557778998765432

Step-by-step explanation:

is it impossible

What is the volume of a rectangular prism with a length of 2 inches, a width of an inch & is a quarter of an inch in height?

Answers

Answer:

= 1/2 inches ^3

Step-by-step explanation:

The volume of a prism

V = l*w*h

  = 2 * 1 *1/4

  = 1/2 inches ^3

Answer:

[tex] = \frac{1}{2} {in}^{3} [/tex]

Step-by-step explanation:

[tex]v = whl \\ = 1 \times \frac{1}{4} \times 2 \\ = \frac{2}{4} \\ = \frac{1}{2} {in}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Given a school supply store sells pencils for $2, pens for $4, and markers for $5. Write an expression for the total cost of 3 pencils, 2 pens, and 3 markers

Answers

Answer: 29

Step-by-step explanation:

3x2= 6

4x2=8

3x5=15

6+8+15= 29

hoped I helped you a bit! Good luck! :)

What is a set of ordered pairs

Answers

Answer:

A relation is a set of ordered pairs. The set of all first components of the ordered pairs is called the domain of the relation and the set of all second components of the ordered pairs is called the range of the relation.

Step-by-step explanation:

a knife is 3 times the cost of spoon
9 spoons and 12 knives cost £82.80

Answers

Answer:

5 .52

Step-by-step explanation:

do the math. aaaaaaaaaaaaaaaaaaaannnnnnnnnnnnnnnnnddddddd this is the best appppp evvvvver

If an event has an 80% probability of happening, which word is the best description?
(1 Point)
Certain
Likely or Probable
Unlikely or Unprobable
Impossible

Answers

Answer:

likely or probable

Step-by-step explanation:

hhhgfd

Likely or probable

4) Gina pays $0.50 each time she plays a carnival game. The game is on a spinner with 12 equal-sized sections, labeled 1 through 12. She wins a prize if the pointer lands on 3, 5, or 7. If Gina spends $4 playing the game, predict the number of prizes she can expect to win.

Answers

Answer: 2 prices

Step-by-step explanation:

Price per play = $0.50

Total amount incurred by Gina in playing =$4

Therefore, total games played :

$4 ÷ $0.5 = 8 games.

Total points on spinner = (1,2,3,4,5,6,7,8,9,10,11,12)

Required for winning = (3, 5, 7)

Probability of winning:

P(WIN) = ( required outcome / Total possible outcome)

P(win) = 3/12 = 1/4

Therefore, the number of prices she can expect to win is (1/4) × number of games (8)

(1/4) × (8) = 2

Factorise this expression as fully as possible
4x^2+x^3

Answers

Answer:

x^2(4+x)

Step-by-step explanation:

you have to factor out x^2 off both equations since that's the only thing that you can divide off the equations

Write nine minus the quotient of two and a number x as a expression variable

Answers

Answer:

9-(2/x)

Step-by-step explanation:

I have a test to do today and I need help with it, i don't understand any of it. I will copy and paste it here: IQ scores are normally distributed with a mean of 100 and standard deviation of 15. 1) About what percent of people would have IQ between 85 and 115? 2) About what percent of people would have IQ between 70 and 130? 3) About what percent of people would have IQ above 130? 4) If a school had 255 students, about how many would you expect to have an IQ less than 70? 5) If a school had 1531 students, about how many would you expect to have an IQ greater than 145? 6) If a school has 354 students with an IQ between 100 and 130, about how many students does the whole school have?

Answers

Answer:

68%

Step-by-step explanation:

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. About 68% of individuals have IQ scores in the interval 100 ± 1 ( 15 ) = [ 85 , 115 ] .

There are 81 women teachers at Russell High. If 45% of the teachers in the school are women, how many teachers are there at Russell High?

Answers

Answer:

180 teachers

Step-by-step explanation:

In this case, we know the value corresponding to 45% of female teachers which is 81, therefore, to find the total it would be:

% teachers    #teachers

       45                 81

       100                 x

we apply the rule of three:

x = 100 * 81/45

x = 180

which means that there are a total of 180 teachers at Russell High

Park View Apartments has 2 buildings. Each building has 3 floors. Each floor has
16 windows. What is the total number of windows in the Park View Apartment
buildings?
What Is The Answer

Answers

Step-by-step explanation:

2 Buildings : 3 Floors Each : 16 Windows per Floor

Multiply 2 and 3 to get the total amount of floors.

2 times 3 equals 6

Then, multiply 6 and 16 to get the total amount of windows in the Park View Buildings.

6 times 16 equals 96

Therefore, there are 96 windows in total or 48 windows per building

hey guys! i would be a HUGE favor if you could help me out with this problem. thx so much, it means alot!! <3

Answers

Answer:

They do have the same solution

Step-by-step explanation:

In the first problem, you subtract 3/4 first. Next you would divide by 2/3. When you divide 7 1/4 by 2/3, you get 87/8. The only step in the second problem is to divide 87 by 8 (87/8).

Which relation is a function? A. (1, 0), (3, 0), (1, 1), (3, 1) (1, 3) B. (1, 1), (2, 2), (3, 3), (4, 4), (5, 8) C. (2, 7), (6, 5), (4, 4), (3, 3), (2, 1) D. (9, −3), (9, 3), (4, −2), (4, 2), (0, 0)

Answers

Answer:

b is the answer

Step-by-step explanation:

i checked if inputs repeated in all the string of answers

Answer:

b

Step-by-step explanation:

Correct answers only!

To the nearest cent, how much interest will he earn in 2 years?

Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer: $8.40

Step-by-step explanation:

The problem states that Scott has deposited $40 and is earning 10% interest, annually. It asks how much interest he will earn in 2 years to the nearest cent.

First, the formula given is B=p(1+r)^t. Since Scott deposits $40, 40 would be the starting amount, p.

B=40(1+r)^t

R is the interest rate: 10%. We plug in 0.10 instead of 10% because r is the interest rate, not the percentage.

B=40(1+0.10)^t

T is time: 2 years

B=40(1+0.10)^2

Now that we have the equation filled out, we plug this into a calculator.

48.4=40(1+0.10)^2

We know that the final amount is $48.40. Unfortunately, the question is asking how much interest is earned. To find that, you would subtract the Final-Initial to get the interest.

48.4-40=8.4

Round to nearest hundreth

Answers

The answer is 44.42°

can someone help? 25 points

Answers

Answer:

8 hours

Step-by-step explanation:

HE has to pay $7 an hour.

8*7=56

He has a descount of $3, so

$56-$3=$53.

Which is the exat amount of money that Tony has.

Answer:

The answer is 46

Because he wants to spend less so you would do

7x7=49

He could only rent the boat for 7 hours because that would be less than 53$

Now you do 49-3=46

Because he had a discount

So the answer is 46

Step-by-step explanation:

Hope this helped!

match the type of graph with its description

Answers

Answer:u tell me doc

Step-by-step explanation:

The length of an arc of a circle is 9.42cm. If the diameter of the circle is 10cm, find the angle subtended by the arc at the center of the circle. (Take π = 3.142)
SHOW ALL WORKING.

Answers

Answer:

1.89 radians  or 108 degrees.

Step-by-step explanation:

Circumference of the circle = 10 * 3.142

= 31.42.

So 31.42 is equivalent to 2 pi radians, so:

Angle subtended at the center

= (9.42 / 31.42) * 2 pi

=  (9.42 / 31.42) * 2 * 3.142

= 1.89 radians  or 108 degrees..

You buy a classic comic book for $45. You want to resell it and make a $15 profit. What percent do you need to markup the comic book?

Answers

33% profit

ratio: 15:45

That can be simplified into 1:3

The price is increased by $15, which is 1/3 of the original $45.

1/3 as a percentage is about 33%.

A survey in one middle school showed that 3 out of 5 students enjoy biking on the weekends. Predict how many out of the 972 students in the school would say they enjoy biking on the weekends.

Answers

583.2 students will enjoy the day! You have to cross multiply so the 3x972=5xE which then equals 2916=5E which equals the answer

The area of a circle is 4π x 2 + 12πx + 9π.
a. What is an expression for the radius of the circle?
b. What is the least possible integer value of x for the circle to exist? Explain.

Answers

Answer:B D

Step-by-step explanation:

I just got it right

Can someone help me with this

Answers

Answer:

30.5 and 46

Step-by-step explanation:

The minimum is 30.5 and the maximum is 46

Melissa needs to wrap a gift box that is shaped like a rectangular prism. The length is 6 inches, the width is 6 inches and the height is 8 inches. How much wrapping paper does she need to cover the whole box

Answers

Answer:

A=264

Step-by-step explanation:

The pot has a diameter of 10 inches a height of 12 inches. there are 120 meatballs each meatball is 2.4 inches. the sauce takes up half the pot already. determine if the sauce overflows or not. pls help its due in an hour! ):

Answers

the answer is c

Step-by-step explanation:

Find the value of the variables for each set or similar figures

Answers

Answer:

3

Step-by-step explanation:

YALL I NEED HELP MY DUMBSELF FORGETS TO DO THESE STUFF SMH

CAN U ALSO EXPLAIN HOW U GOT THE ANSWER PLZ THXX
I need to find the area

Answers

Area=1/2 x b x h
=1/2 x 7 x 3
= 21/2
=10.5

Which expression is equivalent?

7 − 4(2x − 3)
A) 8x + 5
B) 8x − 19
C) −8x + 5
D) −8x + 19

Answers

D is the answer -8x + 19

Answer:

this is so overdue

Step-by-step explanation:

which of the following is the best way of selecting a random sample

Answers

Answer:

I believe its c because a b and d are far off

Step-by-step explanation:

what is a unit rate?​

Answers

Answer:

A unit rate is like a calculator or price per unit. that you will have to divide the numerator by the denominator.

Step-by-step explanation:

Example: "A motorcycle travels 230 miles on 4 gallons of gasoline." basically you will have to find the average mileage per gallon of how much that motorcycle used.

I'm not sure if this helped. sorry

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